While you can run a report on the recurring email series, the report will show a single entry for the entire email series. 
  • The date sent will only show the original send date of the first email sent in the series.  
  • Fields like Email Sent, Email Delivered, Opens, etc will increase over time if you rerun the report. 

Due to recurring email messages sharing the same message id the reports will treat it as a single entry in reporting.  Luminate Online utilizes the same message id on subsequent sends to prevent users from receiving the same message multiple times.